Electrolytes serve several purposes in the body, including ________

A block–spring system vibrating on a frictionless, horizontal surface with an amplitude of 7.0 cm has an energy of 14 J. If the

Bingel [31]

Answer:

$E_T= 28J$

Explanation:

The energy of Mass-Spring System the sum of the potential energy of the block plus the kinetic energy of the block:

$E_T=U+K=\frac{1}{2} k \Delta x^2+\frac{1}{2} mv^2$

Where:

$\Delta x=Amplitude\hspace{3}or\hspace{3}d eformation\hspace{3} of\hspace{3} the\hspace{3} spring\\m=Mass\hspace{3}of\hspace{3}the\hspace{3}block\\k=Constant\hspace{3}of\hspace{3}the\hspace{3}spring\\v=Velocity\hspace{3}of\hspace{3}the\hspace{3}block$

There are two cases, the first case is when the spring is compressed to its maximum value, in this case the value of the kinetic energy is zero, since there is no speed, so:

$E_T=\frac{1}{2} k \Delta x^2\\\\14=\frac{1}{2} k7^2\\\\Solving\hspace{3} for\hspace{3} k\\\\k=\frac{28}{49} =\frac{4}{7}$

The second case is when the block passes through its equilibrium position, in this case the elastic potential energy is zero since $\Delta x=0$ , so:

$E_T=\frac{1}{2} mv^2\\\\14=\frac{1}{2} mv^2\\\\Solving\hspace{3} for\hspace{3} v\\\\v^2=\frac{28}{m}$

Now, let's find the energy of the system when the block is replaced by one whose mass is twice the mass of the original block using the previous data:

$E_T=U+K=\frac{1}{2} k \Delta x^2+\frac{1}{2} m_2v^2$

Where in this case:

$m_2=New\hspace{3}mass=Twice\hspace{3} the\hspace{3} mass \hspace{3}of\hspace{3} the\hspace{3} original=2m$

Therefore:

$E_T=\frac{1}{2} (\frac{4}{7} ) (7^2)+\frac{1}{2} (2m)(\frac{28}{m_2})=\frac{1}{2} (\frac{4}{7} ) (7^2)+\frac{1}{2} (2m)(\frac{28}{2m})=14+14=28J$

8 0

3 years ago

The knob of a door always has a larger radius than the shaft so that the distance over which the force is applied _______ in ord

4vir4ik [10]

Is greater
Reduce......................

4 0

3 years ago

Read 2 more answers

A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects another runway. The width of the

tia_tia [17]

Answer:

t = 1.48 s

Explanation:

As we know that length of the Boeing plane is

$L = 59.7 m$

width of the intersection is given as

$w = 25.0 m$

now we know that deceleration of the plane is given as

$a = -5.4 m/s^2$

Also the final speed of the plane while it clears the intersection is given as

$v_f = 53 m/s$

now we have

$d = (\frac{v_f + v_i}{2}) t$

$(25 + 59.7) = (\frac{53 + v_i}{2}) t$

also we know that

$v_f - v_i = at$

$53 - v_i = -5.4 t$

now we have

$84.7 = (\frac{53 + 53 + 5.4t}{2})t$

by solving above equation we have

$t = 1.48 s$

5 0

3 years ago

If the number of unemployed workers is 19 million, the number in the working-age population is 500 million, and the unemployment

Darina [25.2K]

Answer:

The percentage of the population that is actively participating in the labor market, whether working or looking for a job, is 95% of the total working age population.

Explanation:

If the number of unemployed in a country is 19 million people, and that number represents an unemployment rate of 4%, to know the total number of economically active people in the country we must perform the following calculation:

(19,000,000 / 4) x 100 = X

475,000,000 = economically active population

However, the country has a working-age population of 500 million people, of which only 475 are actively participating in the labor market. To know the percentage that these 475 million people represent, we must perform the following cross multiplication:

500 = 100

475 = X

(475 x 100) / 500 = X

95 = X

The percentage of the population that is actively participating in the labor market, whether working or looking for a job, is 95% of the total working age population.

6 0

3 years ago

Are there electrical appliances at home that don't use transformers?If yes, state a few examples of them.

VARVARA [1.3K]

Answer:

telephones,battery lamps etc

7 0

3 years ago

Electrolytes serve several purposes in the body, including _________